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Finding the Fourth Proportional to 471.36, 650.78 and 294.59

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Solution

The fourth proportional to 471.36, 650.78 and 294.59 is: 406.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.36 : 650.78 = 294.59 : x
  2. Step 2: Convert to fraction form
    471.36/650.78 = 294.59/x
  3. Step 3: Cross multiply
    471.36x = 650.78 × 294.59
  4. Step 4: Simplify right side
    471.36x = 191,710.03
  5. Step 5: Solve for x
    x = 191,710.03/471.36
  6. Step 6: Final answer
    x = 406.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.